Linear Equations, Two Unknowns

Practice Questions

GMAT Quantitative Reasoning › Linear Equations, Two Unknowns

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1

$x^{2}+ y^{2} = 20$

What is ?

2

$x^{2} - y ^{2} = 125$

Give the solution set for .

3

Solve for when

4

Solve for :

5

A company wants to ship some widgets. If the weight of the box plus one widget is 6 pounds, and the weight of the box plus two widgets is 10 pounds, then what is the weight of the box and the weight of the widget? Put the answer in an ordered pair such that the ordered pair is (box weight, widget weight).

6

Which equation is linear?

7

Which of the following equations is parallel to the line given by the equation:

$y = \frac{-4}{3}x + 15$

8

is a linear equation that passes through the points and . What is the slope , and y-intercept of ?

9

The product of two positive numbers, and , yields . If their sum is , what is the value of ?

10

Solve for .

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